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Finding the Fourth Proportional to 188,200.64, 259,700.80 and 107,615.16

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Solution

The fourth proportional to 188,200.64, 259,700.80 and 107,615.16 is: 148,499.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,200.64 : 259,700.80 = 107,615.16 : x
  2. Step 2: Convert to fraction form
    188,200.64/259,700.80 = 107,615.16/x
  3. Step 3: Cross multiply
    188,200.64x = 259,700.80 × 107,615.16
  4. Step 4: Simplify right side
    188,200.64x = 27,947,743,144.13
  5. Step 5: Solve for x
    x = 27,947,743,144.13/188,200.64
  6. Step 6: Final answer
    x = 148,499.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.